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Finding the Fourth Proportional to 46,536.20, 64,219.20 and 25,316

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Solution

The fourth proportional to 46,536.20, 64,219.20 and 25,316 is: 34,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,536.20 : 64,219.20 = 25,316 : x
  2. Step 2: Convert to fraction form
    46,536.20/64,219.20 = 25,316/x
  3. Step 3: Cross multiply
    46,536.20x = 64,219.20 × 25,316
  4. Step 4: Simplify right side
    46,536.20x = 1,625,773,267.20
  5. Step 5: Solve for x
    x = 1,625,773,267.20/46,536.20
  6. Step 6: Final answer
    x = 34,935.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.